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AP EAMCET20228 Jul 2022Morning ShiftPhysicsMotion in One DimensionActual

A ball is thrown upward from the top of a building at angle of 30^ to the horizontal with an initial speed of 15 ms ⁻¹ . If the ball hits the ground after 3 ~s , then the height of building is (acceleration due to gravity =10 ~ms ⁻² )

Options

  1. A30 ~m
  2. B12.5 ~m
  3. C25.5 ~m
  4. D22.5 ~m

Correct answer

D. 22.5 ~m

Step-by-step solution

15 2 ~m / s Time taken by ball to reach the same height of building, t = 2 g = 2 15 30^ 10 =1.5 sec Now, remaining 1.5 sec will be taken by ball to reach the ground a Considering only vertical motion of ball aligned & h = 15 2 1.5+ 1 2 10 1.5^2 & =22.5 ~m aligned

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